Quantitative Relative Entropy Estimates on the Whole Space for Convolution Interaction Forces
发布时间：2024年01月22日
浏览次数：1319
发布者: He Liu
主讲人： Paul Nikolaev (University of Mannheim)
活动时间： 从 2024-01-23 14:00 到 15:30
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
In this talk, we derive quantitative estimates on the whole space for the relative entropy between the joint law of randomly interacting particles and the tensorized law at the limiting system. We discuss the combination of the relative entropy method and modulated energy under the moderated interaction scaling introduced by Oeschläger, as well as the propagation of chaos in probability. Moreover, we demonstrate the propagation of chaos for large stochastic systems of interacting particles and discuss possible applications to various interacting particle systems, including the Coulomb interaction case.
